Q: What are the prime factors of the number 69,125,990?

 A: 2, 5, 19, 37, 9833

Why are those the prime factors of the number 69,125,990?

Prime factors are the prime numbers that can be multipled together to equal the original number. You find the factors by dividing by prime numbers. It is best shown by creating a Factor Tree.

Factor Tree for the number 69,125,990

69,125,990
Factor Arrows
234,562,995
Factor Arrows
56,912,599
Factor Arrows
19363,821
Factor Arrows
379,833

The numbers in bold above are the prime factors. If there are multiples, you only count them one time. This leads us to our prime factors of:

2, 5, 19, 37, 9833

We can check our work by multiplying all of the prime factors together: 2 x 5 x 19 x 37 x 9,833 = 69,125,990

This can also be written as 21 x 51 x 191 x 371 x 9,8331 = 69,125,990

If you would like to know more, or need additional explanation, please review our prime factorization explanation.


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